Dorothy & George Company is planning to acquire a new machine at a total cost of $$27,800.$ The machine$$s estimated life is $6$ years and its estimated salvage value is $$500.$ The company estimates that annual cash savings from using this machine will be $$9,000.$ The company$$s after$-$tax cost of capital is $9\%$ and its income tax rate is $40\%.$ The company uses straight$-$line depreciation. $($Use Appendix C$,$ Table $1$ and Appendix C$,$ Table $2.)($Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Round answers to the nearest dollar amount.$)$

Required:

$1.$ What is this investment$$s net after$-$tax annual cash inflow?

$2.$ Assume that the net after$-$tax annual cash inflow of this investment is $$4,000$; what is the net present value $($NPV$)$ of this investment?

$3.$ What are the minimum net after$-$tax annual cost savings that make the proposed investment acceptable $($i$.$e$.,$ the dollar cost savings that would yield an NPV of $$0)?$ Hint: Redo the NPV analysis by setting the NPV equal to zero and making the annual after$-$tax cash flows equal to X; then solve for X and enter the amount as your answer. Also consider using Goal Seek in Excel.